论文标题
通过闭合神经元的闭环随机同步出现的周期性和非周期性脑波
Periodic and non-periodic brainwaves emerging via random syncronization of closed loops of firing neurons
论文作者
论文摘要
电生理信号的周期性和非周期性成分是根据马尔可夫链相关的发射神经元的封闭环的合成序列进行建模的。发射神经元的单个闭环再现基本和谐波组件，在功率谱中以线路的形式出现，频率从$ 0.5 Hz $到$ 100 Hz $不等。脑电波信号的进一步有趣的特征通过考虑多个封闭环的序列序列。特别是，我们表明综合环的数量的波动导致宽带功率频谱成分的发作。 通过同步环数的波动和相关宽带组件的出现的影响，信号的高度扭曲波形和非平稳性被观察到经验性EEG和MEG信号。通过使用典型的触发神经元脉冲振幅和持续时间来评估周期性和周期性成分的分析关系。
Periodic and nonperiodic components of electrophysiological signals are modelled in terms of syncronized sequences of closed loops of firing neurons correlated in Markov chains. Single closed loops of firing neurons reproduce fundamental and harmonic components, appearing as lines in the power spectra at frequencies ranging about from $0.5 Hz$ to $ 100 Hz$. Further interesting features of the brainwave signals emerge by considering multiple syncronized sequences of closed loops. In particular, we show that the fluctuations of the number of syncronized loops leads to the onset of broadband power spectral components. By effect of the fluctuations of the number of synchronized loops and the emergence of the related broadband component, highly distorted waveform and nonstationarity of the signal are observed, consistently with empirical EEG and MEG signals. The analytical relationships of the periodic and aperiodic components are evaluated by using typical firing neuron pulse amplitudes and durations.
